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Finding the Fourth Proportional to 13,965.40, 20,945.70 and 5,195.80

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Solution

The fourth proportional to 13,965.40, 20,945.70 and 5,195.80 is: 7,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.40 : 20,945.70 = 5,195.80 : x
  2. Step 2: Convert to fraction form
    13,965.40/20,945.70 = 5,195.80/x
  3. Step 3: Cross multiply
    13,965.40x = 20,945.70 × 5,195.80
  4. Step 4: Simplify right side
    13,965.40x = 108,829,668.06
  5. Step 5: Solve for x
    x = 108,829,668.06/13,965.40
  6. Step 6: Final answer
    x = 7,792.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.